Apple's iPhones might be extremely popular with the general public, but you won't see many high-ranking government or military types with them because the phones don't have a great security track record. So, how can Apple fix its security problems? It could turn to an unlikely partner: BlackBerry.

"Yes, if Apple would ever come to us and would love to have our security, we could talk," BlackBerry CEO John Chen told CNNMoney's Cristina Alesci on Monday from the sidelines of the Milken Global Conference in Los Angeles.

That's right. Apple could partner up with its smartphone competitor to beef up security on iPhones. Apple's smartphones may dwarf BlackBerry's offerings in terms of market share, but President Obama and the Defense Department still turn to BlackBerry because of its top-of-the-line security.